Final answer:
To calculate the time it takes the spider to walk around the perimeter of a 3 m by 4 m room, we first find the perimeter in meters, convert it to centimeters, and then divide by the spider's speed in cm/s. The perimeter of the room is 14 m, which is 1400 cm. Dividing this by the spider's speed, 19 cm/s, gives us approximately 74 seconds.
Explanation:
To find out how long it would take the spider to walk around the perimeter of a room that is 3 m wide and 4 m long, we first need to calculate the perimeter of the room. The formula for perimeter P of a rectangle is P = 2(l + w), where l is the length and w is the width.
So for a room that is 3 m wide and 4 m long, the perimeter is:
P = 2(4 m + 3 m) = 2(7 m) = 14 m
Since the spider walks 19 cm each second and there are 100 cm in a meter, we convert the perimeter to centimeters:
14 m = 1400 cm
Now, we calculate the time t it will take for the spider to walk this distance by dividing the perimeter by the spider's speed:
t = perimeter/speed = 1400 cm / 19 cm/s
Therefore, the time taken for the spider to walk around the perimeter is approximately:
t = 73.68 s
So, the spider would take about 74 seconds to walk around the perimeter of the room.
Final answer:
To determine the time for a spider to walk around a 3 m by 4 m room, calculate the perimeter (14 m), convert it to centimeters (1400 cm), and divide by the spider's speed (19 cm/s), resulting in approximately 73.68 seconds.
Explanation:
To calculate the time it would take for a spider to walk around the perimeter of a 3 m by 4 m room, first, find the perimeter of the room by adding the lengths of all the sides:
Perimeter = 2 × (3 m) + 2 × (4 m) = 6 m + 8 m = 14 m.Next, since the spider walks 19 cm each second, convert the perimeter from meters to centimeters because the units need to match.
Perimeter in centimeters = 14 m × 100 cm/m = 1400 cm.Now, divide the total perimeter by the spider's speed to find the time it takes:
Time = Perimeter / SpeedTime = 1400 cm / 19 cm/sTime ≈ 73.68 secondsTherefore, it would take approximately 73.68 seconds for the spider to walk around the perimeter of the room.
is this answer right
Abel makes the following statement:
"I have a 30% chance of being selected as the captain of the baseball team and a 20% chance of being elected student body president."
What is the probability that Abel will be selected as the captain of the baseball team and will be elected student body president?
Answers:
6%
10%
20%
50%
Lina bought 4 smoothies at a health food store. The bill was less than $16.
Write and solve an inequality to represent the cost of each smoothie.
What values make sense for this situation?
The inequality representing the cost of each smoothie is 4x < 16, which simplifies to x < 4, denoting that the cost of each smoothie is less than $4. Sensible values are any positive numbers less than $4.
To represent the cost of each smoothie with an inequality, let's designate the cost of one smoothie as x. Since Lina bought 4 smoothies and the total cost was less than $16, the inequality to represent this situation is:
4x < 16
To solve this inequality, we'll divide both sides by 4:
x < 16 / 4
x < 4
The cost of each smoothie is less than $4.
Values that make sense for this situation would be any positive price per smoothie that is less than $4, as Lina's total purchase for 4 smoothies must not exceed $16. So, x could be any positive real number less than 4.
Estimate the value of 97.5 divided by 1.96
The estimated value is 50, which is close to the actual value of approximately 49.74.
To estimate the value of 97.5 divided by 1.96, we can round the numbers to make the calculation simpler.
Rounding 97.5 to 100 and 1.96 to 2 gives us an easier division: 100 divided by 2, which equals 50.
This estimation tells us that the actual value will be close to 50.
If we require more accuracy and use a calculator, we would find that 97.5 divided by 1.96.
= 9.75 / 1.96
= 49.74.
Therefore, our rounded estimate of 50 is reasonably close to the actual value.
PLEASE HELP ITS A TIMED TEST! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts among 5 people. How many pounds of peanuts will each person get? Express your answer in simplest form.
A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If the diver rises toward the surface too fast, he may suffer from a physical condition called “the bends.” Suppose the diver started at 82 feet below the surface and rose in five steps of 15 feet each. Use an integer to describe his new position in relation to the water surface. is it positive or negative?
The deep-sea diver started at 82 feet below the surface and rose in five steps of 15 feet each, which resulted in a new position of -7 feet. This indicates that the diver is still 7 feet underwater, so the integer representing his position is negative.
The diver starts at 82 feet below the surface and rises in five steps of 15 feet each. To find the new position, we start with the initial position and subtract the distance risen in each step:
Initial position: -82 feet (below water is considered negative)
Total rise: 5 steps × 15 feet/step = 75 feet
New position: -82 feet + 75 feet = -7 feet
Therefore, the diver's new position is -7 feet relative to the surface, indicating he is still 7 feet underwater, thus the integer is negative.
2. Your bank account has $-15 in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work.
(b) After you have made all of your deposits, you withdraw $2 a day until your account balance is $0. How many days will you withdraw $2? Show your work.
Answer:
at 5:00 pm in atlanta, georgia, ethan noticed the temperature outside was 72°F . The temperature decreases at a steady rate of 2°F per hour. At what time was the temperature less than 64°F .
How can we best show or describe the change in a position of a figure?
Marty has a fenced yard in the shape of a rectangle. it's area is 635.4 square feet. The width of the yard is 18 feet. Whatis the length of the fence?
A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each. How many bolts of muslin cloth does the pattern maker use each month?
A) 35
B) 35 1/15
C) 35 1/5
D) 35 1/3
using what you know about percents,explain why a commercial that says"80% of dentists use this toothpaste"might be misleading?
A holiday display is made up of several strands of lights. There are 2970 lights in the display. Each light strand has 135 lights. How many strands of lights are in the display?
If the train that Megan is riding covers 120 miles in 4 hours, how fast is the train traveling?
give a counterexample to disprove the statement "all squares are congruent"
Which type of weathering is caused by plants?
A.mechanical weathering
B. ice wedging
C. both mechanical and chemical weathering
D. chemical weathering
A cruise ship can cover 17 nautical miles in 306 minutes. How many nautical miles will it travel in 198 minutes?
splashtown charges an entrance fee of $25 plus $1 for each ride. Schlitterbahn charges a $40 entrance fee and all the rose are free. After how many rides would Schlitterbahn be cheaper than splashtown
Schlitterbahn becomes cheaper than Splashtown after more than 15 rides.
Let's define x as the number of rides:
Cost of Splashtown: $25 + $1 * x
Cost of Schlitterbahn: $40
We need to find the value of x for which the cost of Splashtown becomes greater than the cost of Schlitterbahn.
$25 + $1x > $40
$1x > $40 - $25
x > $15
So, after more than 15 rides, Schlitterbahn would be cheaper than Splashtown.
Two students are playing a math game. The object of the game is to make the least possible number by arranging the given digits inside absolute value bars on a card. In the first round, each player will use the digits 3, 5, and 7 to fill in the card. What is the least possible number the card can show?
in order to have the smallest possible number the numbers need to be arranged from smallest to largest
using 3, 5 & 7 the smallest number would be 357
Please help
10 points!!
Use conversion factors to convert. Write the factor you used.
5 quarts to cups __________
600 centimeters to meters ________
Find the product. (3p 4)3 · (p 2)7
The product of the expressions (3p⁴)³ * (p²)⁷ is 27p²⁶
How to evaluate the product of the expressions
From the question, we have the following parameters that can be used in our computation:
(3p⁴)³ * (p²)⁷
Expanding the brackets, we have
(27p¹²) * (p¹⁴)
Remove the brackets
So, we have
27p¹² * p¹⁴
Evaluate using the law of indices
27p²⁶
Hence, the product of the expressions is 27p²⁶
Question
Find the product
(3p⁴)³ * (p²)⁷
In a week, 27 hens laid 81 eggs. What is the unit rate for eggs per hen?
Please help! Thanks! Show work!
math question down below
The length of the ears on the shadow puppet is 3 inches. The length of the ears on the shadow is 4 inches. What is the scale factor?
In linear equation, 4/3 is the scale factor.
What are instances of linear equations?Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.given,
The length of the ears on the shadow puppet = 3 inches
The length of the ears on the shadow = 4 inches.
so according to question we apply the formula of scale factor ,
scale factor = length of ears on the shadow/length of ears on the shadow
scale factor = 4/3
Learn more about linear equation here:
brainly.com/question/11897796
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30 points !!!!!!!!Solve the following problem. Show ALL steps to receive full credit.
5x + x + x – 6 – 2 = 8 + 2x + x a.
Simplify by combining like terms. State your equation
30. The perimeter of a rectangle is 292 feet. The length of the rectangle is 4 feet less than 5 times the width. What is the length and width of the rectangle?
a. length = 121, width = 25b. length = 114.3, width = 23.7
c. length = 25, width = 121d. length = 121.7, width = 24.3
Final answer:
To find the dimensions of the rectangle, the problem was solved by setting up and solving equations based on the given perimeter and the relationship between the length and the width. It was found that the width is 25 feet and the length is 121 feet.
Explanation:
To solve the problem, we first need to set up equations based on the information given. We are told the perimeter of a rectangle is 292 feet and that the length (L) is 4 feet less than 5 times the width (W). The formulas for the perimeter (P) of a rectangle is P = 2L + 2W. The relationship between the length and the width can be expressed as L = 5W - 4.
Substituting the second equation into the first, we get: 292 = 2(5W - 4) + 2W.
Simplifying, we find that 292 = 10W - 8 + 2W, leading to 300 = 12W. Therefore, W = 25 feet. Substituting back to find L, we find that L = 5(25) - 4 = 121 feet.
Thus, the width of the rectangle is 25 feet, and the length is 121 feet, which corresponds to option C).
The lizards in the show eat 250 crickets per week.About how any crickets do the lizards eat each day?Explain.
Each day the lizards eat about 36 crickets when we round to the nearest whole number
To calculate how many crickets the lizards eat each day, we need to divide the weekly intake by the number of days in a week. The lizards eat 250 crickets per week. There are 7 days in a week.
So, we divide 250 by 7 which equals approximately 35.71 crickets per day.
Therefore, each day the lizards eat about 36 crickets when we round to the nearest whole number, since you can't have a fraction of a cricket.
A fair charges $7.25 for admission and $5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased ride passes. If their total cost was $105.50, how many friends purchased ride passes?
tell me pls thank you
The number of friends who purchased ride passes= 6
Step-by-step explanation:It is given that:
A fair charges $7.25 for admission and $5.50 for a ride pass.
Now, if 10 friends visited the fair.
This means that:
Total cost of admission= 7.25×10= $ 72.5
Also, if x friends purchased the ride passes.
Then, the total cost of ride passes= 5.50x
Total cost= 72.5+5.50x
This means that:
72.5+5.50x=105.50
i.e.
5.50x=105.50-72.5
5.50x=33
x=33/5.50
x=6
Hence, 6 friends purchased ride passes.
Markers are sold in boxes, packs, or as single markers. Each box has 10 packs. Each pack has 10 markers. Draw pictures to show two ways to buy 276 markers.